Reflective automorphic forms on lattices of squarefree level

Dittmann, Moritz

doi:10.1090/tran/7620

Reflective automorphic forms on lattices of squarefree level
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Trans. Amer. Math. Soc. 372 (2019), 1333-1362 Request permission

Abstract:

We show that there are only finitely many nonconstant reflective automorphic forms $\Psi$ on even lattices of squarefree level splitting two hyperbolic planes and give a complete classification in the case where the zeros of $\Psi$ are simple and $\Psi$ has singular weight.

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